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Finding the Fourth Proportional to 314,450.07, 471,748.91 and 104,088

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Solution

The fourth proportional to 314,450.07, 471,748.91 and 104,088 is: 156,156.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,450.07 : 471,748.91 = 104,088 : x
  2. Step 2: Convert to fraction form
    314,450.07/471,748.91 = 104,088/x
  3. Step 3: Cross multiply
    314,450.07x = 471,748.91 × 104,088
  4. Step 4: Simplify right side
    314,450.07x = 49,103,400,544.08
  5. Step 5: Solve for x
    x = 49,103,400,544.08/314,450.07
  6. Step 6: Final answer
    x = 156,156.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.